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Finding the Fourth Proportional to 57,762, 86,643 and 13,986

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Solution

The fourth proportional to 57,762, 86,643 and 13,986 is: 20,979

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762 : 86,643 = 13,986 : x
  2. Step 2: Convert to fraction form
    57,762/86,643 = 13,986/x
  3. Step 3: Cross multiply
    57,762x = 86,643 × 13,986
  4. Step 4: Simplify right side
    57,762x = 1,211,788,998
  5. Step 5: Solve for x
    x = 1,211,788,998/57,762
  6. Step 6: Final answer
    x = 20,979

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.